J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, “Photonic crystals: putting a new twist on light,” Nature (London) 386, 143–149 (1997).

[CrossRef]

K. Sakoda and H. Shiroma, “Numerical method for localized defect modes in photonic lattices,” Phys. Rev. B 56, 4830–4835 (1997).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, “Numerical analysis of eigenmodes localized at line defects in photonic lattices,” Phys. Rev. B 56, 14905–14908 (1997).

[CrossRef]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

S. Hyun, J. Hwang, Y. Lee, and S. Kim, “Computation of resonant modes of open resonators using the FEM and the anisotropic perfectly matched layer boundary condition,” Microwave Opt. Technol. Lett. 16, 352–356 (1997).

[CrossRef]

C. C. Cheng and A. Scherer, “Lithographic band gap tuning in photonic band gap crystals,” J. Vac. Sci. Technol. B 14, 4110–4114 (1996).

[CrossRef]

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Large omnidirectional band gaps in metallodielectric photonic crystals,” Phys. Rev. B 54, 11245–11251 (1996).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837–7842 (1996).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in a photonic crystal waveguide,” Phys. Rev. Lett. 77, 3787–3790 (1996).

[CrossRef]
[PubMed]

A. R. McGurn, “Green’s-function theory for row and periodic defect arrays in photonic band structures,” Phys. Rev. B 53, 7059–7064 (1996).

[CrossRef]

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, “Guided and defect modes in periodic dielectric waveguides,” J. Opt. Soc. Am. B 12, 1267–1272 (1995).

[CrossRef]

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. Lee, “A perfectly matched anisotropic absorber for use as an absorbing boundary condition,” IEEE Trans. Antennas Propag. 43, 1460–1463 (1995).

[CrossRef]

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).

[CrossRef]

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, “Novel applications of photonic band gap materials: low loss bends and high Q cavities,” J. Appl. Phys. 75, 4753–4755 (1994).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).

[CrossRef]

K. M. Leung and Y. Qiu, “Multiple-scattering calculation of the two-dimensional photonic band structure,” Phys. Rev. B 48, 7767–7771 (1993).

[CrossRef]

R. Lee and A. C. Cangellaris, “A study of discretization error in the finite element approximation of wave solutions,” IEEE Trans. Antennas Propag. 40, 542–549 (1992).

[CrossRef]

J. B. Pendry and A. Mackinnon, “Calculation of photon dispersion relations,” Phys. Rev. Lett. 69, 2772–2775 (1992).

[CrossRef]
[PubMed]

P. R. Villeneuve and M. Piché, “Photonic band gaps in two-dimensional square lattices: square and circular rods,” Phys. Rev. B 46, 4973–4975 (1992).

[CrossRef]

M. Plihal and A. A. Maradudin, “Photonic band structure of two-dimensional systems: the triangular lattice,” Phys. Rev. B 44, 8565–8571 (1991).

[CrossRef]

E. Yablonovitch, T. M. Gmitter, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structure,” Phys. Rev. Lett. 67, 3380–3383 (1991).

[CrossRef]
[PubMed]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Photonic bound states in periodic dielectric materials,” Phys. Rev. B 44, 13772–13774 (1991).

[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

C. R. I. Emson, “Methods for the solution of open-boundary electromagnetic-field problems,” Proc. Inst. Electr. Eng. Part A 135, 151–158 (1988).

K. Hayata, M. Eguchi, and M. Koshiba, “Self-consistent finite/infinite element scheme for unbounded guided wave problems,” IEEE Trans. Microwave Theory Tech. MTT-36, 614–616 (1988).

[CrossRef]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).

[CrossRef]
[PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).

[CrossRef]
[PubMed]

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, “Novel applications of photonic band gap materials: low loss bends and high Q cavities,” J. Appl. Phys. 75, 4753–4755 (1994).

[CrossRef]

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).

[CrossRef]

E. Yablonovitch, T. M. Gmitter, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structure,” Phys. Rev. Lett. 67, 3380–3383 (1991).

[CrossRef]
[PubMed]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Photonic bound states in periodic dielectric materials,” Phys. Rev. B 44, 13772–13774 (1991).

[CrossRef]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

R. Lee and A. C. Cangellaris, “A study of discretization error in the finite element approximation of wave solutions,” IEEE Trans. Antennas Propag. 40, 542–549 (1992).

[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in a photonic crystal waveguide,” Phys. Rev. Lett. 77, 3787–3790 (1996).

[CrossRef]
[PubMed]

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, “Guided and defect modes in periodic dielectric waveguides,” J. Opt. Soc. Am. B 12, 1267–1272 (1995).

[CrossRef]

C. C. Cheng and A. Scherer, “Lithographic band gap tuning in photonic band gap crystals,” J. Vac. Sci. Technol. B 14, 4110–4114 (1996).

[CrossRef]

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, “Guided and defect modes in periodic dielectric waveguides,” J. Opt. Soc. Am. B 12, 1267–1272 (1995).

[CrossRef]

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, “Novel applications of photonic band gap materials: low loss bends and high Q cavities,” J. Appl. Phys. 75, 4753–4755 (1994).

[CrossRef]

K. Hayata, M. Eguchi, and M. Koshiba, “Self-consistent finite/infinite element scheme for unbounded guided wave problems,” IEEE Trans. Microwave Theory Tech. MTT-36, 614–616 (1988).

[CrossRef]

C. R. I. Emson, “Methods for the solution of open-boundary electromagnetic-field problems,” Proc. Inst. Electr. Eng. Part A 135, 151–158 (1988).

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, “Photonic crystals: putting a new twist on light,” Nature (London) 386, 143–149 (1997).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837–7842 (1996).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in a photonic crystal waveguide,” Phys. Rev. Lett. 77, 3787–3790 (1996).

[CrossRef]
[PubMed]

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Large omnidirectional band gaps in metallodielectric photonic crystals,” Phys. Rev. B 54, 11245–11251 (1996).

[CrossRef]

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, “Guided and defect modes in periodic dielectric waveguides,” J. Opt. Soc. Am. B 12, 1267–1272 (1995).

[CrossRef]

D. Maystre, G. Tayeb, and D. Felbacq, “Electromagnetic study of photonic band structures and anderson localization,” in Microcavities and Photonic Bandgaps: Physics and Applications, J. Rarity and C. Weisbuch, eds. (Kluwer, Dordrecht, The Netherlands, 1996), pp. 153–163.

E. Yablonovitch, T. M. Gmitter, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structure,” Phys. Rev. Lett. 67, 3380–3383 (1991).

[CrossRef]
[PubMed]

K. Hayata, M. Eguchi, and M. Koshiba, “Self-consistent finite/infinite element scheme for unbounded guided wave problems,” IEEE Trans. Microwave Theory Tech. MTT-36, 614–616 (1988).

[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

S. Hyun, J. Hwang, Y. Lee, and S. Kim, “Computation of resonant modes of open resonators using the FEM and the anisotropic perfectly matched layer boundary condition,” Microwave Opt. Technol. Lett. 16, 352–356 (1997).

[CrossRef]

S. Hyun, J. Hwang, Y. Lee, and S. Kim, “Computation of resonant modes of open resonators using the FEM and the anisotropic perfectly matched layer boundary condition,” Microwave Opt. Technol. Lett. 16, 352–356 (1997).

[CrossRef]

J. Jin, The Finite Element Method in Electromagnetics (Wiley-Interscience, New York, 1993), Chaps. 4, 7.

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, “Photonic crystals: putting a new twist on light,” Nature (London) 386, 143–149 (1997).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837–7842 (1996).

[CrossRef]

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Large omnidirectional band gaps in metallodielectric photonic crystals,” Phys. Rev. B 54, 11245–11251 (1996).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in a photonic crystal waveguide,” Phys. Rev. Lett. 77, 3787–3790 (1996).

[CrossRef]
[PubMed]

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, “Guided and defect modes in periodic dielectric waveguides,” J. Opt. Soc. Am. B 12, 1267–1272 (1995).

[CrossRef]

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, “Novel applications of photonic band gap materials: low loss bends and high Q cavities,” J. Appl. Phys. 75, 4753–4755 (1994).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).

[CrossRef]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Photonic bound states in periodic dielectric materials,” Phys. Rev. B 44, 13772–13774 (1991).

[CrossRef]

E. Yablonovitch, T. M. Gmitter, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structure,” Phys. Rev. Lett. 67, 3380–3383 (1991).

[CrossRef]
[PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).

[CrossRef]
[PubMed]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, “Novel applications of photonic band gap materials: low loss bends and high Q cavities,” J. Appl. Phys. 75, 4753–4755 (1994).

[CrossRef]

S. Hyun, J. Hwang, Y. Lee, and S. Kim, “Computation of resonant modes of open resonators using the FEM and the anisotropic perfectly matched layer boundary condition,” Microwave Opt. Technol. Lett. 16, 352–356 (1997).

[CrossRef]

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. Lee, “A perfectly matched anisotropic absorber for use as an absorbing boundary condition,” IEEE Trans. Antennas Propag. 43, 1460–1463 (1995).

[CrossRef]

K. Hayata, M. Eguchi, and M. Koshiba, “Self-consistent finite/infinite element scheme for unbounded guided wave problems,” IEEE Trans. Microwave Theory Tech. MTT-36, 614–616 (1988).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in a photonic crystal waveguide,” Phys. Rev. Lett. 77, 3787–3790 (1996).

[CrossRef]
[PubMed]

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. Lee, “A perfectly matched anisotropic absorber for use as an absorbing boundary condition,” IEEE Trans. Antennas Propag. 43, 1460–1463 (1995).

[CrossRef]

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. Lee, “A perfectly matched anisotropic absorber for use as an absorbing boundary condition,” IEEE Trans. Antennas Propag. 43, 1460–1463 (1995).

[CrossRef]

R. Lee and A. C. Cangellaris, “A study of discretization error in the finite element approximation of wave solutions,” IEEE Trans. Antennas Propag. 40, 542–549 (1992).

[CrossRef]

S. Hyun, J. Hwang, Y. Lee, and S. Kim, “Computation of resonant modes of open resonators using the FEM and the anisotropic perfectly matched layer boundary condition,” Microwave Opt. Technol. Lett. 16, 352–356 (1997).

[CrossRef]

K. M. Leung and Y. Qiu, “Multiple-scattering calculation of the two-dimensional photonic band structure,” Phys. Rev. B 48, 7767–7771 (1993).

[CrossRef]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

J. B. Pendry and A. Mackinnon, “Calculation of photon dispersion relations,” Phys. Rev. Lett. 69, 2772–2775 (1992).

[CrossRef]
[PubMed]

M. Plihal and A. A. Maradudin, “Photonic band structure of two-dimensional systems: the triangular lattice,” Phys. Rev. B 44, 8565–8571 (1991).

[CrossRef]

A. A. Maradudin and A. R. McGurn, “Photonic band structures of two-dimensional dielectric media,” in Photonic Band Gap and Localization, C. M. Soukoulis, ed. (Plenum, New York, 1993), pp. 247–268.

D. Maystre, G. Tayeb, and D. Felbacq, “Electromagnetic study of photonic band structures and anderson localization,” in Microcavities and Photonic Bandgaps: Physics and Applications, J. Rarity and C. Weisbuch, eds. (Kluwer, Dordrecht, The Netherlands, 1996), pp. 153–163.

A. R. McGurn, “Green’s-function theory for row and periodic defect arrays in photonic band structures,” Phys. Rev. B 53, 7059–7064 (1996).

[CrossRef]

A. A. Maradudin and A. R. McGurn, “Photonic band structures of two-dimensional dielectric media,” in Photonic Band Gap and Localization, C. M. Soukoulis, ed. (Plenum, New York, 1993), pp. 247–268.

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, “Guided and defect modes in periodic dielectric waveguides,” J. Opt. Soc. Am. B 12, 1267–1272 (1995).

[CrossRef]

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, “Novel applications of photonic band gap materials: low loss bends and high Q cavities,” J. Appl. Phys. 75, 4753–4755 (1994).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).

[CrossRef]

E. Yablonovitch, T. M. Gmitter, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structure,” Phys. Rev. Lett. 67, 3380–3383 (1991).

[CrossRef]
[PubMed]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Photonic bound states in periodic dielectric materials,” Phys. Rev. B 44, 13772–13774 (1991).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in a photonic crystal waveguide,” Phys. Rev. Lett. 77, 3787–3790 (1996).

[CrossRef]
[PubMed]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, “Numerical analysis of eigenmodes localized at line defects in photonic lattices,” Phys. Rev. B 56, 14905–14908 (1997).

[CrossRef]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

J. B. Pendry and A. Mackinnon, “Calculation of photon dispersion relations,” Phys. Rev. Lett. 69, 2772–2775 (1992).

[CrossRef]
[PubMed]

P. R. Villeneuve and M. Piché, “Photonic band gaps in two-dimensional square lattices: square and circular rods,” Phys. Rev. B 46, 4973–4975 (1992).

[CrossRef]

M. Plihal and A. A. Maradudin, “Photonic band structure of two-dimensional systems: the triangular lattice,” Phys. Rev. B 44, 8565–8571 (1991).

[CrossRef]

K. M. Leung and Y. Qiu, “Multiple-scattering calculation of the two-dimensional photonic band structure,” Phys. Rev. B 48, 7767–7771 (1993).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).

[CrossRef]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Photonic bound states in periodic dielectric materials,” Phys. Rev. B 44, 13772–13774 (1991).

[CrossRef]

E. Yablonovitch, T. M. Gmitter, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structure,” Phys. Rev. Lett. 67, 3380–3383 (1991).

[CrossRef]
[PubMed]

J. N. Reddy, An Introduction to the Finite Element Method (McGraw-Hill, Singapore, 1993), Chap. 9.

Z. S. Sacks, D. M. Kingsland, R. Lee, and J. Lee, “A perfectly matched anisotropic absorber for use as an absorbing boundary condition,” IEEE Trans. Antennas Propag. 43, 1460–1463 (1995).

[CrossRef]

K. Sakoda and H. Shiroma, “Numerical method for localized defect modes in photonic lattices,” Phys. Rev. B 56, 4830–4835 (1997).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, “Numerical analysis of eigenmodes localized at line defects in photonic lattices,” Phys. Rev. B 56, 14905–14908 (1997).

[CrossRef]

C. C. Cheng and A. Scherer, “Lithographic band gap tuning in photonic band gap crystals,” J. Vac. Sci. Technol. B 14, 4110–4114 (1996).

[CrossRef]

K. Sakoda and H. Shiroma, “Numerical method for localized defect modes in photonic lattices,” Phys. Rev. B 56, 4830–4835 (1997).

[CrossRef]

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, “Novel applications of photonic band gap materials: low loss bends and high Q cavities,” J. Appl. Phys. 75, 4753–4755 (1994).

[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech, Boston, Mass., 1995), Chaps. 5, 8, 11.

D. Maystre, G. Tayeb, and D. Felbacq, “Electromagnetic study of photonic band structures and anderson localization,” in Microcavities and Photonic Bandgaps: Physics and Applications, J. Rarity and C. Weisbuch, eds. (Kluwer, Dordrecht, The Netherlands, 1996), pp. 153–163.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, “Numerical analysis of eigenmodes localized at line defects in photonic lattices,” Phys. Rev. B 56, 14905–14908 (1997).

[CrossRef]

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, “Photonic crystals: putting a new twist on light,” Nature (London) 386, 143–149 (1997).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837–7842 (1996).

[CrossRef]

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Large omnidirectional band gaps in metallodielectric photonic crystals,” Phys. Rev. B 54, 11245–11251 (1996).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in a photonic crystal waveguide,” Phys. Rev. Lett. 77, 3787–3790 (1996).

[CrossRef]
[PubMed]

P. R. Villeneuve and M. Piché, “Photonic band gaps in two-dimensional square lattices: square and circular rods,” Phys. Rev. B 46, 4973–4975 (1992).

[CrossRef]

E. Yablonovitch, T. M. Gmitter, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structure,” Phys. Rev. Lett. 67, 3380–3383 (1991).

[CrossRef]
[PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).

[CrossRef]
[PubMed]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, “Observation of leaky slab modes in an air-bridged semiconductor waveguide with two-dimensional photonic lattice,” Appl. Phys. Lett. 70, 1438–1440 (1997).

[CrossRef]

O. C. Zienkiewicz, The Finite Element Method (McGraw-Hill, Singapore, 1989), Vol. 1, Chap. 8.

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